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Finding the Third Proportional to 3,816.57 and 8,096.60

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Solution

The third proportional to 3,816.57 and 8,096.60 is: 17,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.57 : 8,096.60 = 8,096.60 : x
  2. Step 2: Convert to fraction form
    3,816.57/8,096.60 = 8,096.60/x
  3. Step 3: Cross multiply
    3,816.57x = 8,096.60 × 8,096.60
  4. Step 4: Simplify right side
    3,816.57x = 65,554,909.42
  5. Step 5: Solve for x
    x = 65,554,909.42/3,816.57
  6. Step 6: Final answer
    x = 17,176.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.